Drag the tiles to the boxes to form correct pairs. not all tiles will be used. match the rectangles formed by the sets of points to their corresponding areas. a(-9,8), b(-5,5), c(1,13), d(-3,16) e(30,20), f(39,29), g(49,19), h(40,10) i(-6,2), j(2,2), k(2,-8), l(-6,-8) m(5,5), n(11,5), o(11,-5), p(5,-5) q(10,0), r(15,5), s(25,-5), t(20,-10) u(0,5), v(15,20), w(25,10),x(10,-5) 50 square units 300 square units 100 square units 80 square units

Area of a rectangle = length × width

= Product of two adjacent sides

By the distance formula,

The length of a line segment having end points and ,

The area of rectangle having vertices A(-9,8), B(-5,5), C(1,13), D(-3,16),

= AB × BC  

= √25 × √100          

= 5 × 10          

= 50 square unit,

The area of rectangle having vertices E(30,20), F(39,29), G(49,19), H(40,10)

= EF × FG

= √162 × √200  

= 81√2 × 10√2

= 1620 square unit,

The area of rectangle having vertices I(-6,2), J(2,2), K(2,-8), L(-6,-8)

= IJ × JK

= √64 × √100      

= 8 × 10

= 80 square unit,

The area of rectangle having vertices M(5,5), N(11,5), O(11,-5), P(5,-5)

= MN × NO

= √36 × √100    

= 6 × 10

= 60 square unit,

The area of rectangle having vertices U(0,5), V(15,20), W(25,10),X(10,-5)

= UV × VW

= √450 × √200  

= 300 square unit,

Area of rectangles having vertices Q(10,0), R(15,5), S(25,-5), T(20,-10)

= QR × RS

= √50 × √200    

= 5√2 ×10√2

= 100 square unit.

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)